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Finding the Fourth Proportional to 1,613.41, 2,225.84 and 1,280.50

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Solution

The fourth proportional to 1,613.41, 2,225.84 and 1,280.50 is: 1,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.41 : 2,225.84 = 1,280.50 : x
  2. Step 2: Convert to fraction form
    1,613.41/2,225.84 = 1,280.50/x
  3. Step 3: Cross multiply
    1,613.41x = 2,225.84 × 1,280.50
  4. Step 4: Simplify right side
    1,613.41x = 2,850,176.15
  5. Step 5: Solve for x
    x = 2,850,176.15/1,613.41
  6. Step 6: Final answer
    x = 1,766.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.